In: Statistics and Probability
An insurance company sells a $16,000, eight-year term life insurance policy to an individual for $1,620. Find the expected return for the company if the probability the individual will live for the next eight years is 0.93. (Round your answer to the nearest cent.)
Given,
Probability of living=0.93
Probability of death=1-0.93=0.07
Cost of policy=$1,620
If the person dies, company has to pay $16,000.
Overall loss for the company=16000-1620=$14380
If the person lives, company does not to have to pay anything, instead it gets to keep $1,620
Expected value,
Let x be the return for the company
Return for the company, x | 1620 | -14380 |
---|---|---|
Probability, P(x) | 0.93 | 0.07 |
Expected return for the company=$500